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Finding the Third Proportional to 92,318 and 132,017

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Solution

The third proportional to 92,318 and 132,017 is: 188,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,318 : 132,017 = 132,017 : x
  2. Step 2: Convert to fraction form
    92,318/132,017 = 132,017/x
  3. Step 3: Cross multiply
    92,318x = 132,017 × 132,017
  4. Step 4: Simplify right side
    92,318x = 17,428,488,289
  5. Step 5: Solve for x
    x = 17,428,488,289/92,318
  6. Step 6: Final answer
    x = 188,787.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.